抄録
A theory was developed for the partial derivatives of ellipticity of Rayleigh wave particle motion at the free surface. It is based on the variational principle, and the partials are expressed in terms of eigenfunctions and an auxiliary integration of equation of motion. Model calculations for the Gutenberg crustmantle structure show a marked difference in depth dependence between the partials of ellipticity and those of phase velocity. The former decreases more rapidly with depth than the latter, implying a strong influence of near surface structure on the ellipticity. This characteristic is enhanced in higher modes. The new partials may be useful for studying near surface structures with horizontal components of higher mode Rayleigh waves.
